Finding the Third Proportional to 538.73 and 834.33

Step by Step Solution

1. Step 1: Write the proportion equation
   538.73 : 834.33 = 834.33 : x
2. Step 2: Convert to fraction form
   538.73/834.33 = 834.33/x
3. Step 3: Cross multiply
   538.73x = 834.33 × 834.33
4. Step 4: Simplify right side
   538.73x = 696,103.42
5. Step 5: Solve for x
   x = 696,103.42/538.73
6. Step 6: Final answer
   x = 1,292.11